The degeneration formula for logarithmic expanded degenerations

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Abstract

We define a notion of logarithmic stable maps based on Bumsig Kim's construction. Then we prove Jun Li's degeneration formula under the log setting by applying the method for transversal maps developed by Dan Abramovich and Barbara Fantechi.

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Chen, Q. (2013). The degeneration formula for logarithmic expanded degenerations. Journal of Algebraic Geometry, 23(2), 341–392. https://doi.org/10.1090/S1056-3911-2013-00614-1

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